{"id":"https://openalex.org/W2058363312","doi":"https://doi.org/10.1137/090769430","title":"An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity","display_name":"An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2058363312","doi":"https://doi.org/10.1137/090769430","mag":"2058363312"},"language":"en","primary_location":{"id":"doi:10.1137/090769430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090769430","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012268830","display_name":"Joscha Gedicke","orcid":"https://orcid.org/0000-0002-8448-0608"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joscha Gedicke","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2138,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.94049355,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"50","issue":"3","first_page":"1029","last_page":"1057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7816608548164368},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7659472823143005},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7476351857185364},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6240065097808838},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5066278576850891},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.47549235820770264},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4286019206047058},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3017656207084656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28393125534057617}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7816608548164368},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7659472823143005},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7476351857185364},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6240065097808838},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5066278576850891},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.47549235820770264},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4286019206047058},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3017656207084656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28393125534057617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090769430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090769430","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1492326914","https://openalex.org/W1506690472","https://openalex.org/W1963839729","https://openalex.org/W1995404822","https://openalex.org/W1998006824","https://openalex.org/W2005151873","https://openalex.org/W2009941208","https://openalex.org/W2009985306","https://openalex.org/W2019140794","https://openalex.org/W2037440687","https://openalex.org/W2039924562","https://openalex.org/W2042615888","https://openalex.org/W2044355921","https://openalex.org/W2044959876","https://openalex.org/W2055232172","https://openalex.org/W2068079525","https://openalex.org/W2071036364","https://openalex.org/W2072811159","https://openalex.org/W2074236982","https://openalex.org/W2084743165","https://openalex.org/W2088963353","https://openalex.org/W2100950337","https://openalex.org/W2107813568","https://openalex.org/W2109443444","https://openalex.org/W2114173401","https://openalex.org/W2152848099","https://openalex.org/W2163343060","https://openalex.org/W2342748186","https://openalex.org/W2964192538"],"related_works":["https://openalex.org/W46293795","https://openalex.org/W2350895707","https://openalex.org/W2014626854","https://openalex.org/W2963566796","https://openalex.org/W2383221329","https://openalex.org/W2364889976","https://openalex.org/W4285722889","https://openalex.org/W2040482695","https://openalex.org/W2051533026","https://openalex.org/W2776155623"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,16,30,60],"combined":[4],"adaptive":[5,53],"finite":[6,43,54],"element":[7,44,55],"method":[8],"with":[9,46],"an":[10],"iterative":[11],"algebraic":[12,66],"eigenvalue":[13,18,34,56,67],"solver":[14,57,68],"for":[15,33,64],"symmetric":[17],"problem":[19],"of":[20,40],"asymptotic":[21,51,79],"quasi-optimal":[22,52,80],"computational":[23,81],"complexity.":[24],"The":[25,50],"analysis":[26],"is":[27],"based":[28],"on":[29],"direct":[31],"approach":[32],"problems":[35],"and":[36,69,85],"allows":[37],"the":[38,65,78],"use":[39],"higher-order":[41],"conforming":[42],"spaces":[45],"fixed":[47],"polynomial":[48],"degree.":[49],"(AFEMES)":[58],"involves":[59],"proper":[61],"termination":[62],"criterion":[63],"does":[70],"not":[71],"need":[72],"any":[73],"coarsening.":[74],"Numerical":[75],"evidence":[76],"illustrates":[77],"complexity":[82],"in":[83],"2":[84],"3":[86],"dimensions.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}